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Box spline
In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box…
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Related topics
Related topics
12 relations
Approximation theory
B-spline
Dirac delta function
List of numerical analysis topics
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Papers overview
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2018
2018
Evaluating Box Splines with Reduced Complexity
J. Horacsek
,
U. Alim
2018
Corpus ID: 147700412
For the class of non-degenerate box splines, we present a set construction scheme that yields the explicit piecewise polynomial…
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2010
2010
A Remark on the Convolution with Box Splines
M. Vergne
2010
Corpus ID: 115175330
The semi-discrete convolution with the Box Spline is an important tool in approximation theory. We give a formula for the…
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2001
2001
The Montonicity and Convexity of the Bivoriate Box Spline Surfaces
Zhao Hong
2001
Corpus ID: 123773938
The objective of this paper is to study the relationship between properties of the control points of the bivariate box spline…
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1999
1999
On some generalization of box splines
Z. Wronicz
1999
Corpus ID: 73585035
We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and…
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1995
1995
Blending Basic Implicit Shapes Using Trivariate Box Splines
J. Peters
,
Michael Wittman
1995
Corpus ID: 17114716
To blend be~ween simple implicit surfaces, such as the sphere, the cone, the cylinder and the torus, we propose La locally employ…
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1995
1995
Optimised Evaluation of Box Splines via the Inverse fft
M. McCool
1995
Corpus ID: 44610515
Box splines are a multivariate extension of uniform univariate B-splines. Direct evaluation of a box spline basis function can be…
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1995
1995
Box-like Splines With Nonuniform Stepsize
Thomas Kunkle
1995
Corpus ID: 16185654
We construct a polynomial spline similar to the box spline, except that we relax the condition that its knots are spaced…
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1991
1991
Box-spline tilings
C. Boor
,
K. Höllig
1991
Corpus ID: 14496732
We describe a simple method for generating tilings of IR d . The basic tile is defined as := {x ∈ IR d : |f(x)| < |f(x + j)| ∀j…
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1991
1991
Algorithms for cardinal interpolation using box splines and radial basis functions
K. Jetter
,
J. Stöckler
1991
Corpus ID: 122913521
SummaryWe describe an algorithm for (bivariate) cardinal interpolation which can be applied to translates of “basis functions…
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1988
1988
Bivariate interpolation with quadratic box splines
M. Dæhlen
,
T. Lyche
1988
Corpus ID: 40551415
Etablissement des resultats d'existence et d'unicite pour l'interpolation a deux variables par des fonctions splines quadratiques…
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